English

Matched asymptotics for large solutions to the Gelfand-Liouville problem in two-dimensional, doubly connected domains

Analysis of PDEs 2018-01-25 v1

Abstract

In this paper we provide a formal matched asymptotic analysis for large solutions to the Gelfand-Liouville problem in planar, doubly connected domains in the plane. Using these, we rigorously construct a good approximate solution to the problem.

Keywords

Cite

@article{arxiv.1801.08105,
  title  = {Matched asymptotics for large solutions to the Gelfand-Liouville problem in two-dimensional, doubly connected domains},
  author = {Christos Sourdis},
  journal= {arXiv preprint arXiv:1801.08105},
  year   = {2018}
}